Swiss-Cheese Operad and Drinfeld Center

Author(s)
Najib Idrissi.
Publication
In: Israel J. Math. (2017) 221.2, pp. 941–972.
Online on
Updated on
Accepted on
Full text
https://cdn.idrissi.eu/main/research/center.pdf
DOI:10.1007/s11856-017-1579-7
https://doi.org/10.1007/s11856-017-1579-7
arXiv:1507.06844
https://arxiv.org/abs/1507.06844
hal-01438863
https://hal.science/hal-01438863
MR3704940
https://mathscinet.ams.org/mathscinet/article?mr=3704940
Zbl 06808424
https://zbMath.org/?q=an:06808424

Abstract

We build a model in groupoids for the Swiss-Cheese operad, based on parenthesized permutations and braids, and we relate algebras over this model to the classical description of algebras over the homology of the Swiss-Cheese operad. We extend our model to a rational model for the Swiss-Cheese operad, and we compare it to the model that we would get if the operad Swiss-Cheese were formal.